Volume 8, Issue 4, November 2001, Pages 518 - 533
On Anomalies in Classical Dynamical Systems
Received 27 February 2001, Revised 25 April 2001, Accepted 5 May 2001, Available Online 1 November 2001.
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- The definition of "classical anomaly" is introduced. It describes the situation in which a purely classical dynamical system which presents both a lagrangian and a hamitonian formulation admits symmetries of the action for which the Noether conserved charges, endorsed with the Poisson bracket structure, close an algebra which is just the centrally extended version of the original symmetry algebra. The consistency conditions for this to occur are derived. Explicit examples are given based on siple two-dimensional models. Applications of the above scheme and lines of further investigations are suggested.
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TY - JOUR AU - Francesco TOPPAN PY - 2001 DA - 2001/11 TI - On Anomalies in Classical Dynamical Systems JO - Journal of Nonlinear Mathematical Physics SP - 518 EP - 533 VL - 8 IS - 4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2001.8.4.6 DO - https://doi.org/10.2991/jnmp.2001.8.4.6 ID - TOPPAN2001 ER -